ENGG 3390 Signal Processing lab 4 - University of Guelph ENGG 3390

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ENGG*3390 Signal Processing Lab 4: Nov. 5 – 16 School of Engineering Fall 2018 1 INTRODUCTION Purpose: In this lab, you will implement and evaluate the performance of a number of FIR and IIR d... igital filters using the Texas Instruments TMS320C5505 eZdsp USB Stick as the signal processor. Recall the frequency response of an ideal low-pass filter with cutoff ωc, |H (ω)| = ( 1, ω < ωc 0, ω > ωc. (1) In class we learned that the associated time domain representation of this system (i.e. it’s impulse response) is the sinc function: sinc(x) = sin(x) x . (2) Since the sinc function continues to infinity in both directions (i.e. it is non-causal and unbounded), this is not straightforward to implement as filter. We will explore some possible solutions. 1.1 Windowed Sinc FIR Filters The desired impulse response decays towards zero in both directions, so it might be tempting to simply crop the tails and use the central aspect as the coefficients for an FIR filter. However, this yields ringing in the frequency domain due to the abrupt truncation of the sinc function. [Show More]

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