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Device for computing a sliding and nonrecursive discrete Fourier transform and its application to a radar system

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TLDR
In this article, a non-recursive and sliding discrete Fourier transform for processing a pulse compression radar signal has been proposed, where each stage comprises two complex rotation operators, two adder-subtracters and two delay circuits and delivers a signal X k m+1 obtained from the following equations.
Abstract
A device for computing a nonrecursive and sliding discrete Fourier transform as applicable in particular to processing of a pulse compression radar signal has N identical and parallel stages (E k ) for receiving in each case samples of the input signal (e m+N ). Each stage comprises two complex rotation operators, two adder-subtracters and two delay circuits and delivers a signal X k m+1 obtained from the following equations: ##EQU1##

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References
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Patent

Efficient low-sidelobe pulse compression

TL;DR: In this article, the authors proposed a pulse compression system for use with step approximation to linear FM and rank coded signals to eliminate sampling errors and range time grating lobes while providing large pulse compression ratios comprising: a receiving circuit for receiving echo signals, a converting circuit for converting echo signals from the receiver to I and Q baseband signals without clock sampling, a sliding window discrete Fourier transform or fast Fourier Transform (FFT) circuit including a taped delay line and a plurality of resistor-type phase weighting networks and adders.
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Method and apparatus for computing the discrete Fourier transform recursively

TL;DR: In this article, two parallel shift registers store and shift the real and imaginary components of the complex number X k + iY k, successively shifted one bit per strobe in response to receipt of new data.
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Method and apparatus for sequencing addresses of a fast fourier transform array

TL;DR: In this paper, an apparatus and method for generating a specific sequence of addresses of values of an array stored in a digital memory is presented, where the addresses are generated by a first counter which generates a seed value and a second counter which produces a control value, the control value controlling a bit inserter and a programmable shifter.
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TL;DR: In this article, an apparatus for performing a Fourier transform using Cordic techniques is presented, where digital words are pipelined through serial add/subtract stages to provide vector rotations without trignometric lookup tables or multiply operations.
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TL;DR: An FFT processing unit of simplified construction comprises one or more arithmetic stages serially connected, each stage has a plurality of recursive arithmetic paths each consisting of a delay element, a simplified multiplier for multiplying by ±1 and ±j where j = √-1, and an adder as mentioned in this paper.