Showing papers on "Quadrature mirror filter published in 2014"
TL;DR: It is shown that ideal filters can be approximated to construct new orthogonal wavelets, in terms of BER, that behave slightly better than the wavelets mentioned above, and much better than biorthogonal waves in multipath channels with additive white Gaussian noise (AWGN).
Abstract: The Daubechies, coiflet and symlet wavelets, with properties of orthogonal wavelets are suitable for multicarrier transmission over band-limited channels. It has been shown that similar wavelets can be constructed by Lagrange approximation interpolation. In this work and using established wavelet design algorithms, it is shown that ideal filters can be approximated to construct new orthogonal wavelets. These new wavelets, in terms of BER, behave slightly better than the wavelets mentioned above, and much better than biorthogonal wavelets, in multipath channels with additive white Gaussian noise (AWGN). It is shown that the construction, which uses a simple simultaneous solution to obtain the wavelet filters from the ideal filters based on established wavelet design algorithms, is simple and can easily be reproduced. The Cramer–Rao lower bound is applied to access the BER performance of the proposed wavelet.
20 citations
TL;DR: This paper presents a novel approach for the design of 9/7 near-perfect-reconstruction wavelets that are efficient for image compression and suggests a near half band criterion to attain a suitable combination of low-pass analysis and decomposition filters.
Abstract: In this paper, we present a novel approach for the design of 9/7 near-perfect-reconstruction wavelets that are efficient for image compression. These wavelets have maximum vanishing moments for both decomposition and reconstruction filters. Among the existing 9/7 tap wavelet filters, the Cohen–Daubechies–Feauveau (CDF) 9/7 are known to have the largest regularity. However, these wavelets have irrational coefficients thus requiring infinite precision implementation. Unlike state- of-art designs that compromise vanishing moments for attaining low-complexity coefficients, our algorithm ensures both. We start with a spline function of length 5 and select the remaining factors to obtain wavelets with rationalized coefficients. By proper choice of design parameters, it is possible to find very low complexity dyadic wavelets with compact support. We suggest a near half band criterion to attain a suitable combination of low-pass analysis and decomposition filters. The designed filter bank is found to give significant hardware advantage as compared with existing filter pairs. Moreover, these low-complexity wavelets have characteristics similar to standard (CDF 9/7) wavelets. The designed wavelets are tested for their suitability in applications such as image compression. Simulations results depict that the designed wavelets give comparable performances on most of the benchmark images. Subsequently, they can be used in applications that require fewer computations and lesser hardware.
13 citations
Patent•
07 Jul 2014TL;DR: In this paper, an analog feedback loopback path selectively routes the filtered quadrature first test signal to a receiver via a second route such that the quadratures receive baseband circuit is arranged to determine a frequency-dependent imbalance of at least one component in the transmitter/receiver.
Abstract: A communication unit includes: a quadrature transmitter having analog transmit filter(s) for filtering a first quadrature test signal. An analog feedback loopback path selectively first routes the filtered quadrature first test signal to a quadrature receiver. The quadrature receiver has: at least one analog receive filter for further filtering the filtered quadrature first test signal; and a quadrature receive baseband circuit arranged to receive and decode the further filtered quadrature first test signal. The quadrature transmitter is arranged to receive a second quadrature test signal and the analog feedback loopback path selectively routes a filtered quadrature second test signal to the quadrature receiver via a second route such that the quadrature receive baseband circuit is arranged to determine a frequency-dependent quadrature imbalance of at least one component in the transmitter/receiver based on the decoded further filtered first quadrature test signal and the decoded further filtered second quadrature test signal.
9 citations
Posted Content•
TL;DR: The convergence of the cascade algorithm of Chebyshev wavelets is proved by using properties of Markov chains, and proposed wavelets are suitable for signal denoising.
Abstract: In this paper we introduce a new family of wavelets, named Chebyshev wavelets, which are derived from conventional first and second kind Chebyshev polynomials. Properties of Chebyshev filter banks are investigated, including orthogonality and perfect reconstruction conditions. Chebyshev wavelets have compact support, their filters possess good selectivity, but they are not orthogonal. The convergence of the cascade algorithm of Chebyshev wavelets is proved by using properties of Markov chains. Computational implementation of these wavelets and some clear-cut applications are presented. Proposed wavelets are suitable for signal denoising.
6 citations
03 Apr 2014
TL;DR: A class of non uniform filter Banks (NUFBs) are built using uniform filter banks in a simple and efficient manner using Cosine modulation so that the whole filter bank structure can be implemented from a single FIR, Type 1 prototype filter.
Abstract: In this paper, a class of non uniform filter banks (NUFBs) are built using uniform filter banks in a simple and efficient manner. The uniform filter bank is realized using Cosine modulation so that the whole filter bank structure can be implemented from a single FIR, Type 1 prototype filter. The Cosine Modulated Filter Bank (CMFB) is designed to satisfy Near Perfect Reconstruction (NPR) conditions such that the 3dB point of the prototype filter is optimized at π/(2M). Channel combiners are employed to combine the sub-bands of uniform filter bank (FB). The NUFB is constructed for even and odd combinations of uniform filter bank. A rigorous analysis of the distortion function is performed to examine the significance of channel combination. A hardware implementation of the NUFB with direct structure has also been done in Virtex-6 FPGA and functionally verified. The method was found to be simple.
6 citations
31 May 2014
TL;DR: An eigenvalue-eigenvector approach for the design of two-channel linear phase quadrature mirror filter (QMF) bank is proposed in this paper, where the objective function has been minimized by an iterative algorithm.
Abstract: An eigenvalue-eigenvector approach for the design of two-channel linear phase quadrature mirror filter (QMF) bank is proposed. To reduce the computational complexity, finite-duration impulse response (FIR) low-pass prototype filter of the filter bank is represented by polyphase components. The design problem is formulated to optimize the filter tap weights of the low-pass prototype filter of the QMF bank to minimize an objective function, which is the weighted sum of the square error of the filter bank transfer function at the quadrature frequency, pass-band error and stop-band residual energy of the low-pass prototype filter and measure of reconstruction ripple. The objective function has been minimized by an iterative algorithm. As compared to the existing design techniques, the proposed algorithm gives better performance in terms of mean square error in stop-band, number of iterations required and stop-band edge attenuation. Design examples are presented to validate the effectiveness of the proposed method.
6 citations
TL;DR: An improved quadratures nonlinear filter named delayed Genz-Keister sequences-based sparse-grid quadrature filter (DGKSGQF) is developed for the target tracking problems and achieves higher accuracy than the EKF and the UKF.
Abstract: An improved quadrature nonlinear filter named delayed Genz-Keister sequences-based sparse-grid quadrature filter (DGKSGQF) is developed for the target tracking problems. The filter changes the non-nested Gaussian quadrature points of the quadrature filters to the nested Genz-Keister points for selecting the unvariate points, which are the basis point sets extended to form a multidimensional grid using the sparse-grid theory. As a result, the points used for lower accuracy levels DGKSGQF can be reused for any higher accuracy level. Thus, it can further reduce the number of total points used for the conventional Gauss-Hermite SGQF without sacrificing performance. The proposed filter is applied to the reentry ballistic target tracking problem. The simulation results show that the DGKSGQF achieves higher accuracy than the EKF and the UKF. In addition, it can more flexibly control the performance in terms of the number of points and accuracy level.
5 citations
22 Jun 2014
TL;DR: Bit error rate (BER) performance shows that the proposed odd filter can enhance the FBMC system in multipath fading channels compared to the conventional QAM-FBMC system.
Abstract: We propose a filter-bank multicarrier (FBMC) system to transmit quadrature amplitude modulation (QAM), which can suppress sidelobe level of the odd prototype filter. We present low-pass filtering method obtaining frequency confinement property for the odd filter. Bit error rate (BER) performance shows that the proposed odd filter can enhance the FBMC system in multipath fading channels compared to the conventional QAM-FBMC system.
5 citations
11 Mar 2014
TL;DR: The aim is to optimally decompose the signals in the wavelet domain so that they can be subsequently used as inputs for training to a neural network classifier.
Abstract: This paper discusses ECG signal classification after parametrizing the ECG waveforms in the wavelet domain. Signal decomposition using perfect reconstruction quadrature mirror filter banks can provide a very parsimonious representation of ECG signals. In the current work, the filter parameters are adjusted by a numerical optimization algorithm in order to minimize a cost function associated to the filter cut-off sharpness. The goal consists of achieving a better compromise between frequency selectivity and time resolution at each decomposition level than standard orthogonal filter banks such as those of the Daubechies and Coiflet families. Our aim is to optimally decompose the signals in the wavelet domain so that they can be subsequently used as inputs for training to a neural network classifier.
4 citations
TL;DR: In this paper, a two-channel quadrature mirror filter (QMF) bank with linear phase in frequency domain was designed and implemented using polyphase decomposition, and prototype filter coefficients were optimized to minimize an objective function using eigenvalue- eigenvector approach without matrix inversion.
Abstract: This paper presents a method for the design of two-channel quadrature mirror filter (QMF) banks with linear phase in frequency domain. Low-pass prototype filter of the QMF bank is implemented using polyphase decomposition. Prototype filter coefficients are optimized to minimize an objective function using eigenvalue- eigenvector approach without matrix inversion. The objective function is formulated as a weighted sum of four terms, pass-band error and stop-band residual energy of low-pass analysis filter, the square error of the overall transfer function at the quadrature frequency and amplitude distortion of the filter bank. The simulation results clearly show that the proposed method requires less computational efforts in comparison to the other state-of-art existing design methods.
4 citations
29 May 2014
TL;DR: In this article, a design method of the optimum quadrature mirror filters (QMF) by using spline polynomial functions is presented, which is optimized with the novelty of using splINE polynomials in the transition band.
Abstract: This paper presents a design method of the optimum quadrature mirror filters (QMF), by using spline polynomial functions. It is known that linear phase FIR filters cannot exactly satisfy the condition that the squared amplitude frequency responses are mirror images of each other about the line ω = π / 2, which has led to the name quadrature mirror flters. The solution is to approximate the response of each frequency band by using spline polynomial functions, that insures continuous superior order derivatives. In the proposed approach, the prototype filter is optimized with the novelty of using spline polynomials in the transition band. Several design examples are included to illustrate the proposed algorithm.
Proceedings Article•
07 Jul 2014TL;DR: A novel extension of the sparse grid quadrature filter is presented that directly transforms the points in time update and measurement update to eliminate repeated covariance decomposition based point generation and to relax the Gaussian assumption inherent in the sparse grids filter as well as the sigma-point filters.
Abstract: The sparse grid quadrature filter is a point-based Gaussian filter in which expectations of nonlinear functions of Gaussian random vectors are computed using the sparse grid quadrature. The sparse grid quadrature can be considered a generalization of the Unscented Transform in that the Unscented Transform is equivalent to the level-2 sparse grid quadrature. A novel extension of the sparse grid quadrature filter is presented that directly transforms the points in time update and measurement update to eliminate repeated covariance decomposition based point generation and to relax the Gaussian assumption inherent in the sparse grid quadrature filter as well as the sigmapoint filters. A tracking example is presented to demonstrate the performance of the novel filter.
01 Oct 2014
TL;DR: The simulations show that the presented filter can outperform both Gaussian sum particle filter (GSPF) and quadrature particle filter(QPF) and the presented algorithm can effectively improve the performance.
Abstract: For the nonlinear and non-Gaussian filtering problem of target tracking, a novel Gaussian sum quadrature particle filter(GSQPF) based on Gauss-Hermite quadrature and Gaussian sum particle filter is proposed. In the proposed algorithm, according to the advantage of Gaussian-Hermite quadrature points in the nonlinear approximation and the diversity of quadrature points, we introduce a set of quadrature point probability densities to approximate the important density function, the filtering and prediction densities are approximated as finite Gaussian mixtures. Because of the advantage of Gaussian mixture and the particle filtering, it can effectively improve the performance. The simulations show that the presented filter can outperform both Gaussian sum particle filter(GSPF) and quadrature particle filter(QPF).
01 Jun 2014
TL;DR: A weighted least squares optimization procedure for the design of infinite impulse response (IIR) filters and IIR two-channel quadrature mirror filter banks (FB) and shows a better performance in terms of all the measured errors.
Abstract: This paper proposes a weighted least squares (WLS) optimization procedure for the design of infinite impulse response (IIR) filters and IIR two-channel quadrature mirror filter banks (FB). The original WLS design problem is converted to a sequence of WLS sub-problems. In each of the WLS sub-problems, only one second-order factor of the denominator and the numerator is updated and iteratively solved by a constrained WLS algorithm. Using the same IIR filter from a recent work, the proposed method shows a better performance in terms of all the measured errors. For the FB, the lowpass filter is designed using a ladder structure through an allpass filter and desirable performance is achieved using a low order allpass filter.
TL;DR: The nonlinear diffusion filter is used in this paper to improve the quality of reconstruction image and the value of PSNR is improved.
Abstract: In the theory of compreesive sensing, the small amount of signal values can be reconstructed when signal is sparse or compressible.But the reconstruction of noisy image isnt very satisfied.In order to improve the quality of reconstruction image,the nonlinear diffusion filter is used in this paper.From the experiment results,the images reconstructed after nonlinear diffusion filter are better,and the value of PSNR is improved.
01 Jan 2014
TL;DR: In this article, a novel auxiliary quadrature particle filter (AQPF) based on Gauss-Hermite quadratures and target characteristics is proposed for the nonlinear filtering problem of target tracking in aperiodic sparseness sampling environment.
Abstract: For the nonlinear filtering problem of target tracking in aperiodic sparseness sampling environment,a novel auxiliary quadrature particle filter( AQPF) based on Gauss-Hermite quadrature and target characteristics is proposed.In the proposed algorithm,a set of quadrature point probability densities based on the Gauss-Hermite quadrature is proposed to approximate the important density function.At the same time,the proposed algorithm can incorporate target observation,time interval of the target observation and the target speed into the construction of important density function,which can effectively enhance the diversity of samples and improve the performance.Finally,the experimental results show that the performance of the proposed algorithm is better than these of the unscented Kalman filter( UKF),quadrature Kalman filter( QKF),particle filter( PF),auxiliary particle filtering( APF) and Gaussian particle filter( GPF),and can effectively estimate the target states.
01 Jan 2014
TL;DR: In this paper, the design and optimization of biquadratic switched capacitor filters for 4th order quadrature-mirror filter banks allowing for real switch effects (e.g. on-state resistance, charge injection...) and the folded cascode OpAmp designed in 0.35 um CMOS technology are discussed.
Abstract: This paper deals with the design and optimization of biquadratic switched capacitor filters for 4th order quadrature-mirror filter banks allowing for real switch effects (e.g. on-state resistance, charge injection...) and the folded cascode OpAmp designed in 0.35 um CMOS technology. The filter is designed as a cascade of two biquads and each filter is separately optimized using the Differential Evolution Algorithm to obtain the required transfer function with deviation of less than ±0.1 dB from the designed transfer function. The filters process a baseband signals (0 - 8 kHz) using a clock frequency of 16 kHz. The resulting capacitor values are presented.
13 Jul 2014
TL;DR: In this article, a perfect reconstruction quadrature mirror filter bank with finite impulse response filters is constructed from systems of biorthogonal refinable functions and wavelets with the condition energy preservation.
Abstract: A new perfect reconstruction quadrature mirror filter banks with finite impulse response filters are constructed from systems of biorthogonal refinable functions and wavelets with the Condition energy preservation. The most significant feature of these filter banks is that filters preserve energy very well. Based on the efficient constructing algorithm, odd-length filter banks are constructed for applications in image processing.
01 Jan 2014
TL;DR: In this paper, an alternative approach to the block-transform approach to spatial decorrelation, based on hierarchical subband decompositions, is described, which enables perfect reconstruction in the absence of quantization.
Abstract: The purpose of this chapter is to describe an alternative approach to the block-transform approach to spatial decorrelation, based on hierarchical subband decompositions. This chapter firstly examines the basic two-channel filter bank structure and then investigates the filter properties that enable perfect reconstruction in the absence of quantization. It then goes on to consider the more general case of multirate filtering, showing how, through the appropriate combination of filters and up- and downsampling operations, critical sampling can be achieved. It next examines specific cases of useful subband and wavelet filters and extends the basic architecture to the case of a multistage (multiscale) decomposition and to two dimensions, as required for image compression applications. Finally, bit allocation strategies and scalability are discussed in the context of the JPEG2000 still image coding standard. Examples are provided throughout.
04 May 2014
TL;DR: A novel method of performing subband analysis of digital signals using a novel structure of quadrature mirror filters to ensure aliasing is present outside of the spectral region of interest.
Abstract: In this article, a novel method of performing subband analysis of digital signals is proposed. Conventional subband decomposition algorithms typically use a binary tree filterbank structure comprised of halfband filters. Due to design limitations of finite length filters, conventional decomposition algorithms typically suffer from interference due to aliasing. While longer halfband filters may reduce aliasing, such filters also increase latency and implementation complexity. Our proposed algorithm uses a novel structure of quadrature mirror filters to ensure aliasing is present outside of the spectral region of interest. Simulation results indicate that, compared to conventional algorithms, the proposed algorithm 1) reduces interference from aliasing by over 30dB, 2) reduces signal processing latency, and 3) reduces implementation complexity.
07 Jul 2014
TL;DR: The proposed vectorized filter bank allows to obtain polyphase filter bank structure that can be efficiently implemented in hardware or in software using vector processors.
Abstract: The paper presents an approach to subchannel decomposition of multidimensional signals that is performed by means of a DFT-modulated filter bank designed for multidimensional signals. An r-dimension signal can be decomposed using r scalar DFT-modulated filter banks. However, the proposed vectorized filter bank allows to obtain polyphase filter bank structure that can be efficiently implemented in hardware or in software using vector processors.
29 May 2014
TL;DR: The application of RNS in designing the infinite impulse response (IIR) filter is discussed and two-channel quadrature mirror filter (QMF) bank constructed by real infinite impulseresponse digital all-pass filter is considered.
Abstract: Design of two-channel quadrature mirror filter (QMF) bank constructed by real infinite impulse response (IIR) digital all-pass filter is considered. Residue number system offers parallel processing and digital hardware implementation for binary operation of addition, subtraction and multiplication. There is no carry propagation between these operations. Hence, devices operating in this principle inherit properties of high speed and low power consumption. However, this properties makes overflow detection difficult during any operation. This paper discusses the application of RNS in designing the infinite impulse response (IIR) filter.
01 Jan 2014
TL;DR: In this chapter, two typical examples will illustrate decimation and interpolation in multirate DSP systems, polyphase notation is introduced, and some efficient decimator designs are discussed.
Abstract: A frequent task in digital signal processing is to adjust the sampling rate according to the signal of interest. Systems with different sampling rates are referred to as multirate systems. In this chapter, two typical examples will illustrate decimation and interpolation in multirate DSP systems. We will then introduce polyphase notation, and will discuss some efficient decimator designs. At the end of the chapter we will discuss filter banks and a quite new, highly celebrated addition to the DSP toolbox: wavelet analysis.
Patent•
01 Jul 2014TL;DR: In this article, a quadrature error signal cancellation circuit was proposed to detect an undesired quadratures signal component in the output of a MEMS gyroscope and null the quadraturature signal component.
Abstract: A quadrature error signal cancellation circuit and technique can detect an undesired quadrature signal component in the output of a MEMS gyroscope and null the quadrature signal component. In one embodiment, the cancellation circuit is configured in a feedback loop with the MEMS gyroscope and includes components to detect and condition the quadrature signal, digitize the conditioned quadrature signal, and generate a quadrature error cancellation signal which is provided back to the MEMS gyroscope.
Patent•
27 Oct 2014TL;DR: In this article, a method of performing quadrature mirror filter (QMF) synthesis filtering includes recording new samples corresponding to a current time slot at positions of samples to be discarded in a first array that includes modulated QMF sub-band samples.
Abstract: A method of performing quadrature mirror filter (QMF) synthesis filtering includes recording new samples corresponding to a current time slot at positions of samples to be discarded in a first array that includes modulated QMF sub-band samples. The method further includes extracting samples from the first array to remove aliasing between adjacent sub-bands, determining filter coefficients corresponding to the extracted samples by using modulo operation, and synthesizing a time domain sample where aliasing is removed by using the extracted samples and the filter coefficients.
Journal Article•
01 Jul 2014-World Academy of Science, Engineering and Technology, International Journal of Computer, Electrical, Automation, Control and Information Engineering
TL;DR: In this paper, the optimal design of two-channel recursive parallelogram quadrature mirror filter (PQMF) banks is investigated. But the design problem can be facilitated by using the 2-D doubly complementary halfband (DC-HB) property possessed by the analysis and synthesis filters.
Abstract: This paper deals with the optimal design of two-channel recursive parallelogram quadrature mirror filter (PQMF) banks. The analysis and synthesis filters of the PQMF bank are composed of two-dimensional (2-D) recursive digital all-pass filters (DAFs) with nonsymmetric half-plane (NSHP) support region. The design problem can be facilitated by using the 2-D doubly complementary half-band (DC-HB) property possessed by the analysis and synthesis filters. For finding the coefficients of the 2-D recursive NSHP DAFs, we appropriately formulate the design problem to result in an optimization problem that can be solved by using a weighted least-squares (WLS) algorithm in the minimax (L∞) optimal sense. The designed 2-D recursive PQMF bank achieves perfect magnitude response and possesses satisfactory phase response without requiring extra phase equalizer. Simulation results are also provided for illustration and comparison. Keywords—Parallelogram Quadrature Mirror Filter Bank, Doubly Complementary Filter, Nonsymmetric Half-Plane Filter, Weighted Least Squares Algorithm, Digital All-Pass Filter.
Patent•
28 Oct 2014
TL;DR: In this article, a method of performing quadrature mirror filter (QMF) synthesis filtering includes recording new samples corresponding to a current time slot at positions of samples to be discarded in a first array that includes modulated QMF sub-band samples.
Abstract: A method of performing quadrature mirror filter (QMF) synthesis filtering includes recording new samples corresponding to a current time slot at positions of samples to be discarded in a first array that includes modulated QMF sub-band samples The method further includes extracting samples from the first array to remove aliasing between adjacent sub-bands, determining filter coefficients corresponding to the extracted samples by using modulo operation, and synthesizing a time domain sample where aliasing is removed by using the extracted samples and the filter coefficients
23 Apr 2014
TL;DR: In this study, two-channel filter banks a special case known as the QMF (Quadrature Mirror Filter - Quarter-mirror filter) bank for the design of Kaiser, Chebyshev and Hanning windowing methods with the filter's cutoff frequency on the optimization of a design based were made.
Abstract: The past over the years, single or multi-dimensional signal processing applications, communication systems, biomedical signal processing, word coding, sub-band coding in applications such as efficient use filter banks; single filter instead of multiple custom filters come together with being designed. In this study, two-channel filter banks a special case known as the QMF (Quadrature Mirror Filter — Quarter-mirror filter) bank for the design of Kaiser, Chebyshev and Hanning windowing methods with the filter's cutoff frequency on the optimization of a design based were made. QMF bank design, failure to peak reconstruction error (Peak Reconstruction Error-PRA) is based. As a result of the ongoing applications designed filter banks belonging to the numerical results and comparisons are given.
TL;DR: Compared to the conventional quadrature signal implementations such as poly phase filter network, or a current mode logic divider, the proposed circuit can directly achieve differential Quadrature outputs with much better phase noise and excellent differential quadratures matching.
Abstract: A novel crystal oscillator circuit with differential quadrature outputs is presented in this paper. It couples two differential Pierce structures with an annular cascade structure to realize differential quadrature outputs directly. A prototype of the circuit was fabricated in SMIC 0.18 μm CMOS process technology. The measurement results show that the maximum quadrature phase mismatch of adjoining signals is lower than 1.3° and the maximum amplitude mismatch is less than 1 %. Compared to the conventional quadrature signal implementations such as poly phase filter network, or a current mode logic divider, our proposed circuit can directly achieve differential quadrature outputs with much better phase noise and excellent differential quadrature matching. It proves potential application prospect in many radio frequency transceiver systems which require rigorous matching characteristics of differential quadrature local oscillator for excellent performance of image rejection.
TL;DR: A Comparison of Multirate two-channel Quadrature Mirror Filter QMF bank with FIR filters based Multiband Dynamic Range Control DRC for audio to protect the AD converter from overload is proposed.
Abstract: This paper proposes a Comparison of Multirate two-channel Quadrature Mirror Filter QMF bank with FIR filters based Multiband Dynamic Range Control DRC for audio. Two-channel QMF decomposes input audio signals into low and high frequency bands with the help of analysis filters, and these sub-bands are decimated by a factor of 2 and inputted to DRC up-sampled by a factor of 2 after which need to be combined to reconstruct the original signal with the help of synthesis filters with increased amplitude in the audio compared to when only FIR filters are used. The filters used here are Finite Impulse Response FIR using Kaiser Window. The reconstructed signal is an exact replica of input signal with some delay called perfect reconstruction. In DRC, multi-band compressor is used to apply compression differently to different frequency bands of the input signal, which uses minimum gain method. This allows the user to be selective about how compression is applied to a signal and only add power to certain parts of the frequency spectrum. Here limiter, compressor, expander and noise gate are used in the DRC, which protects the AD converter from overload. Index Terms: Analog to digital converter (A/D), Dynamic Range Control (DRC), Finite Impulse Response (FIR), Quadrature Mirror Filter (QMF).