A computer program for designing optimum FIR linear phase digital filters

Abstract

This paper presents a general-purpose computer program which is capable of designing a large class of optimum (in the minimax sense) FIR linear phase digital filters. The program has options for designing such standard filters as lowpass, high-pass, bandpass, and bandstop filters, as well as multipassband-stopband filters, differentiators, and Hilbert transformers. The program can also be used to design filters which approximate arbitrary frequency specifications which are provided by the user. The program is written in Fortran, and is carefully documented both by comments and by detailed flowcharts. The filter design algorithm is shown to be exceedingly efficient, e.g., it is capable of designing a filter with a 100-point impulse response in about 20 s.

Design and application of discrete-time fractional Hilbert transformer

“…Emphasis has been put on the optimization of the free parameter 1(1 > 0) of the delta operator in order to achieve minimum roundoff noise gain at the output. The second-order DFIIt section, being a basic building block, was analyzed in detail [3], [4].…”

“…Based on this result, the window method can be directly applied to design FIR FHT. After some maniputation, it can be shown that h (n) = cos( )h 0 (n) + sin( )h 1 (n) (3) where h1(n) is the impulse response of the conventional HT and h0(n) is equal to unit sample function (n). Thus, FHT can be designed by slightly modifying the filter coefficients of conventional HT, which can be obtained by several well-documented methods.…”

“…1 shows the DFIIt implementation of (1). This structure was studied extensively for optimization in previous works [3], [4], where the same 1 was used in both 01 operators. Fig.…”

Reconfigurable broadband microwave photonic intensity differentiator based on an integrated optical frequency comb source

“…(2) based on the Remez algorithm. 33 The corresponding amplitude and phase response of the first-, second-, and third-order differentiators as a function of the number of taps are also plotted in Figs. 1(a)-1(c).…”

Split Spectrum Processing with Computationally Efficient Sinusoidal Fir Filters

“…If a time domain (FIR) implementation of SSP is desired for real-time or near realtime processing, an efficient way ofrealizing the SSP bandpass filters exists based on a two-branch cascaded structure of filters of lower complexity capable of reducing the multiply count by up to 70% compared to the direct design approach [5]. The design is based on two lowpass filters with sparse non-zero coefficients and the application of the frequency scaling theorem as weil as the frequency modulation theorem.…”