Journal ArticleDOI
Least squared error FIR filter design with transition bands
TLDR
The authors propose the use of transition bands and transition functions in the ideal amplitude frequency response to allow the analytical design of optimal least-squared-error FIR digital filters with an explicit control of the transition band edges.Abstract:
The authors propose the use of transition bands and transition functions in the ideal amplitude frequency response to allow the analytical design of optimal least-squared-error FIR digital filters with an explicit control of the transition band edges. Design formulas are derived for approximations to ideal frequency responses which use pth-order spline transition functions. A mixed analytical and numerical method for zero-error weight in the transition bands and passband and stopband error weighting functions with an integral squared error approximation are derived. A variable-order spline transition function is developed, and a method for choosing the optimal order to minimize the integral squared approximation error is given. >read more
Citations
More filters
Journal ArticleDOI
Splitting the unit delay [FIR/all pass filters design]
TL;DR: This work presents a comprehensive review of FIR and allpass filter design techniques for bandlimited approximation of a fractional digital delay, focusing on simple and efficient methods that are well suited for fast coefficient update or continuous control of the delay value.
Journal ArticleDOI
A 10b 120MSample/s time-interleaved analog-to-digital converter with digital background calibration
TL;DR: Digital calibration using adaptive signal processing corrects offset mismatch, gain mismatch, and sample-time error between time-interleaved channels in a 10b 120MSample/s pipelined ADC.
Journal ArticleDOI
Constrained least square design of FIR filters without specified transition bands
TL;DR: The notion that explicitly specified transition bands have been introduced in the filter design literature in part as an indirect approach for dealing with discontinuities in the desired frequency response is put forth.
MonographDOI
Applied Digital Signal Processing: Theory and Practice
TL;DR: A focus on algorithms that are of theoretical importance or useful in real-world applications ensures that students cover material relevant to engineering practice, and equips students and practitioners alike with the basic principles necessary to apply DSP techniques to a variety of applications.
Journal ArticleDOI
A Four-Channel Time-Interleaved ADC With Digital Calibration of Interchannel Timing and Memory Errors
TL;DR: An 11-bit 160-MS/s four-channel time-interleaved double-sampled pipelined ADC implemented in a 0.35-μm CMOS process is described and digital calibration is used to correct mismatch errors between channels as well as the memory errors that arise from the use of double sampling.
References
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Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Book
Digital Filters
TL;DR: In this chapter,sequency as a generalized frequency is introduced, and the frequency is used as a parameter to distinguish individual functions that belong to sets of nonsinusoidal functions.
Book
Splines and Variational Methods
TL;DR: In this article, Lagrangians interpolates Hermitian interpolates polynomial splines and generalizations approximating functions of several variables fundamentals for variational methods the finite element method the method of collocation.
Journal ArticleDOI
Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase
T. Parks,J. McClellan +1 more
TL;DR: An efficient procedure for the design of finite-length impulse response filters with linear phase is presented, which obtains the optimum Chebyshev approximation on separate intervals corresponding to passbands and/or stopbands.