Time-Domain Finite Impulse Response Filter Bank

The finite impulse response (FIR) filter is one of the basic operations in signal processing. This kernel implements a set of M FIR filters. Each FIR filter m, m ∈ {0, 1, ..., M-1 }, has a set of impulse response coefficients w_m[k], k ∈ { 0 ... K-1 }. If the length of the input vector is N, the output of filter m, y_m, is the convolution of w_m with the input x_m:
We define two datasets in Table 1, one for a short filter and one for a long filter. An operation count of 8MNK is used for the time-domain FIR benchmark that assumes complex input and output data.