# polyphase decimation filter.

Polyphase Filter Partition Let N = L*M N = Filter Length M = Resampling Rate L = Subfilter Length Place filter coefficients columnwise into an M by L matrix. Kind Code: A1 . Description. The decimation factor is M. A polyphase filter structure : a input bus,a commutator,a bank of subfilters,a output bus. Let call a sampling frequence of data in input bus as Fs. On the Polyphase Decomposition for Design1 of Generalized Comb Decimation Filters Massimiliano Laddomada, Member, IEEE Abstract—Generalized comb ﬁlters (GCFs) are efﬁ-cient anti-aliasing decimation ﬁlters with improved selec-tivity and quantization noise (QN) rejection performance around the so called folding bands with respect to The filter bank uses a prototype lowpass filter and is implemented using a polyphase structure. Learn more about polyphase decimation filter MATLAB, Simulink, DSP System Toolbox Each polyphase filter runs at th e reduced sample rate of F s / M where M is the decimation (i nterpolation) factor and F s is the sampling rate of the orig-inal filter. Polyphase implementation allows this exchange to be possible for general ﬁlters. Polyphase decomposition is an efficient solution to this resource problem in the direct implementation. A plurality of polyphase half rate filters may be serially combined to provide the desired decimation rate. 8/39 If you didn't do your decimation with a polyphase, you would be running your 120 tap FIR filter at the high rate- now you are running them all at the lower rate, so in terms of multiplications/second you are more efficient. Several special types of filter banks, such as Nyquist filters, power- complementary systems and Euclidean filter-banks, are studied in section V. Decimation filters that use a polyphase implementation compute only the final expected output samples, not the samples to discard, thus reducing the computational complexity of the filters. United States Patent Application 20060224649 . 2) Pad zeros to make length equal to integer multiple of M Put a zero in front to provide the x[-3], x[-2], and x[-1] terms. Input data word length is 16 bits using two’s-complement representation. Let h(n) denote the FIR filter impulse response of length L and u(n) the input signal. It can be used as for system design and functional verification. The coefficients are stored in on-chip RAM blocks. Decimation Filter Gain • “Gain scaling” in the decimation filter maps the ±0.4714 modulator average output at signal peaks to the 20-bit digital full-scale range of ±219 – Ideal decimation filter dc gain is 1112000=120.9dB – To allow for offsets, etc., we’ll use a slightly smaller gain of 220=120.4dB % filter each polyphase component and add together y_poly_dec=filter(p0,1,x0)+filter(p1,1,x1)+filter(p2,1,x2)+filter(p3,1,x3) Example of Polyphase Filters for Decimation (pt. It has been tested with Matlab and Octave as well. The HSP43220™ from HARRIS Corp. is a two-stage linear-phase FIR filter for decimation. Decimation filter has wide application in both analog and digital systems for data rate conversion as well as filtering. In case of decimation, the input gets shifted by a sample at each time instant and then convolved with all the filters accordingly, and finally summed from all the subbands to give the output. Let call a decimation factor as M. Therefore, subfilters are working on a sampling frequence Fs / M. A subfilter is FIR-filter. I have designed a filter of pi/20, which means there are 20 subbands. The maximum input sample frequency is 30 MHz. The design uses a direct-form polyphase decimation filter structure and is shown in Figure 1. The following figure illustrates the potentially harmful effects of not using an anti-aliasing filter before the decimator. Interpolation and decimation using newton polyphase filters . Subfilters are the rows of the matrix. This is a behavioral SystemC model for Polyphase Decimation filters. To design the halfband filter, you can specify the block to use an elliptic design or a quasi-linear phase design. Fractional decimation filters of length L and u ( n ) denote the FIR filter for.. Of the input signal it can be used as for system design and functional verification the designMultirateFIR function M.... 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