On low-complexity frequency selective digital filters and - download pdf or read online

By Linnea Rosenbaum.

ISBN-10: 9185715077

ISBN-13: 9789185715077

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37 4. FILTER SPECIFICATIONS SUITABLE FOR FRM regular linear-phase FIR filters. As is well known (Chen and Lee, 1996; Rosenbaum and Johansson, 2007), the price to pay for the lower arithmetic complexity in the FRM approach is an overall longer delay. This must also be consider when choosing approach for the specification at hand; it is however not taken into account here. For a regular linear-phase FIR filter H(z) with filter order N , the number of multiplications is about N/2, or more exactly ⌊N/2⌋ + 1.

In Chapter 6, the case where the filter order of H0 (z) is even and the FRM is the conventional one introduced by Lim (1986), thus Gc (z) = z −NG /2 − G(z), is proposed. The analysis and synthesis filters have linear phase and there is no aliasing distortion. 2 M -channel maximally decimated filter banks The two-channel filter bank can be generalized into a filter bank with M channels. Such filter banks find application in numerous areas (Crochiere and Rabiner, 1983; Fliege, 1994; Vaidyanathan, 1993) and over the past two decades, a vast number of papers on the theory and design of such filter banks have been published.

82 . 8 (c) and (d) illustrate 2 More precisely, F (z) and F (z) are allowed to have some don’t-care-band (as for the NB and 0 1 WB structures), but here only the principle is shown. 15 2. 5: Illustration of magnitude responses for WB FRM lowpass filters with even L. (a) model filter, (b) periodic model filter, (c) masking filter, and (e) overall filter. 16 2. 6: Illustration of magnitude responses for WB FRM lowpass filters with odd L. (a) model filter, (b) periodic model filter, (c) masking filter, and (e) overall filter.

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On low-complexity frequency selective digital filters and filter banks by Linnea Rosenbaum.


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