The frequencies are given as a fraction of the Nyquist frequency for the system (the maximum frequency representable in the sampled system). To use the remez routine, you specify the lower and upper frequencies and the desired magnitude response at those frequencies.
Matlab filter designer manual#
(The name “remez” comes from a particular numerical algorithm, known as the “Remez exchange” which forms part of the Parks-McClellan algorithm.) The Matlab manual pages for the remez function are provided with this assignment. ) The remez routine is an implementation of the algorithm known as the Parks-McClellan algorithm for digital filter design, after its inventors. You should check the help function in MATLAB. However, since there may be older versions of M ATLAB still in use, we will refer to the function as remez. (Note: most recent versions of M ATLAB call this function firpm. One of the algorithms you will use for the filter design uses the Matlab routine remez. The signals you are to deal with are sampled at a rate of samples/sec. You will test the filter response by providing sinusoidal inputs at a variety of frequencies and comparing the actual magnitude response with the theoretical magnitude response. You will then implement the filters in C++. The FIR filter is designed with the help of a M ATLAB design tool. The IIR filter is “designed” by pole placement. See qfilt in the Filter Design Toolbox for more information.In this programming assignment you will design both IIR and FIR filters.
See Lattice Structure for more information.įor Quantized filter, specify the filter as a Qfilt object. For Lattice ARMA, the Lattice coeff field specifies the lattice (reflection) coefficients, k(1) to k(N), and the Ladder coeff field specifies the ladder coefficients, v(1) to v(N+1), were N is the filter order.įilters in lattice form can be produced by tf2latc.
For Lattice MA (minimum or maximum phase), the Lattice coeff field specifies the lattice (reflection) coefficients, k(1) to k(N), were N is the filter order.For Lattice allpass, the Lattice coeff field specifies the lattice (reflection) coefficients, k(1) to k(N), were N is the filter order.See State-Space for more information.įor Lattice allpass, Lattice MA, and Lattice ARMA filters, specify the filter by its lattice representation: The A, B, C, and D fields each specify a variable name or a value for the matrices in this system.įilters in state-space form can be produced by functions such as tf2ss and zp2ss. See Second-Order Sections (SOS) for more information.įor State-Space, specify the filter by its state-space representation: Whose rows contain the numerator and denominator coefficients b ik and a ik of the second-order sections of H( z).įilters in second-order section form can be produced by functions such as tf2sos, zp2sos, ss2sos, and sosfilt. The Gain field specifies a variable name or a value for the gain g, and the SOS Matrix field specifies a variable name or a value for the L-by-6 SOS matrix
See Transfer Function for more information.įor Direct form II (Second-order sections), specify the filter by its second-order section representation: For FIR filters, the Denominator is 1.įilters in transfer function form can be produced by all of the Signal Processing Toolbox filter design functions (e.g., fir1, fir2, remez, butter, yulewalk).
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