Multirate FIR Filters for Interpolating and Desampling

Publisher Summary This chapter presents a number of examples of systems that use multirate processing and discusses the way in which system considerations lead to a multirate design. It also highlights specific systems that can be referred to when developing design techniques for multirate filters. The chapter focuses on the parameters that describe FIR filter characteristics and reviews the way in which these parameters interact. It focuses on how the coupling between these parameters affects the design of multirate filters. Starting with classical frequency and time domain specifications of lowpass FIR filters, it presents a number of quick, first-order approximations to the ways they interact. The chapter discusses the way by which data rate reduction is achieved with lowpass FIR filters and demonstrates, via the McClellan–Parks (MP) design algorithm, the way by which the choice of filter parameters controls filter characteristics, and the way by which these parameters can be traded for desirable performance gains. It also examines data rate reduction techniques that use carrier-centered FIR filters and center frequencies with interesting signal processing characteristics. The chapter also reviews simple architectural models of FIR filters and highlights the important FIR filter relationships by graphical presentations.

[1]  F. Mintzer,et al.  The design of optimal multirate bandpass and bandstop filters , 1978 .

[2]  Georges Bonnerot,et al.  Digital filtering by polyphase network:Application to sample-rate alteration and filter banks , 1976 .

[3]  R. Shively.  On multistage finite impulse response (FIR)filters with decimation , 1975 .

[4]  L. Pfeifer,et al.  High-speed octave band digital filtering , 1972 .

[5]  V. Zingarelli,et al.  An analytical formula for the design of quadrature mirror filters , 1984 .

[6]  J. Craig,et al.  Digital filters for sample-rate reduction , 1972 .

[7]  D. Goodman,et al.  Nine digital filters for decimation and interpolation , 1977 .

[8]  L.R. Rabiner,et al.  Interpolation and decimation of digital signals—A tutorial review , 1981, Proceedings of the IEEE.

[9]  R. R. Shively,et al.  A novel implementation of digital phase shifters , 1975, The Bell System Technical Journal.

[10]  L. Rabiner,et al.  A digital signal processing approach to interpolation , 1973 .

[11]  G. Bonnerot,et al.  Premultiplication scheme for digital FIR filters with application to multirate filtering , 1978 .

[12]  R. Crochiere,et al.  Quadrature mirror filter design in the time domain , 1984 .

[13]  L. Jackson,et al.  On the relationship between digital Hilbert transformers and certain low-pass filters , 1975 .

[14]  C. Burrus,et al.  Design and implementation of multirate digital filters , 1976 .

[15]  Bede Liu,et al.  Practical design rules for optimum FIR bandpass digital filters , 1979 .

[16]  L. Rabiner,et al.  Further considerations in the design of decimators and interpolators , 1976 .

[17]  L. Rabiner,et al.  A novel implementation for narrow-band FIR digital filters , 1975 .

[18]  Thomas W. Parks,et al.  New results in the design of digital interpolators" ieee trans , 1975 .

[19]  E. Hogenauer,et al.  An economical class of digital filters for decimation and interpolation , 1981 .

[20]  M. Narasimha,et al.  On using the symmetry of FIR filters for digital interpolation , 1978 .

[21]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[22]  Fred Mintzer,et al.  Filters for distortion-free two-band multirate filter banks , 1985, IEEE Trans. Acoust. Speech Signal Process..

[23]  C. Galand,et al.  New quadrature mirror filter structures , 1984 .

[24]  T. Saramaki,et al.  A class of linear-phase FIR filters for decimation, interpolation, and narrow-band filtering , 1984 .

[25]  I. Paul,et al.  Intersection filters for general decimation/Interpolation , 1981 .

[26]  Bede Liu,et al.  Aliasing error in the design of multirate filters , 1978 .

[27]  L. Rabiner,et al.  Optimum FIR Digital Filter Implementations for Decimation, Interpolation, and Narrow-Band Filtering , 1975 .

[28]  Adly T. Fam,et al.  A new structure for narrow transition band, lowpass digital filter design , 1984 .

[29]  O. Herrmann,et al.  Practical design rules for optimum finite impulse response low-pass digital filters , 1973 .