Learning Objectives

• Study of basic discrete-time signals such as unit impulse, step, ramp, real and complex exponential and their representation using MATLAB functions.

• Study of different types of discrete-time systems.

• Mathematical operations on discrete-time signals such are addition, multiplication, scaling, folding and shifting using user-defined MATLAB functions.

• Use of MATLAB functions such as decimate, interp, downsample, upsample and resample.

• Use of MATLAB functions to obtain convolution of discrete-time signal.

• Brief introduction to z-Transform, Discrete Time Fourier Transform (DTFT), Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT).

• Use of fft and ifft functions to obtain DFT and FFT.

• Digital filter design using MATLAB functions as buttord, cheby1ord, cheby2ord, ellipord and butter, chebyl, cheby2 etc.

• Use of freqz function to obtain response of the filter.

• FIR digital filter design using functions such as kaiserord, firpmord, fir1, fir2, firls and fircls.

• Study of functions for design of FIR filters using windows such as blackman, hamming, hann and kaiser.

• Use of Window Visualization Tool (WV Tool) to visualize window.

• Study of Filter Design and Analysis Tool (FDA Tool) and Filter Visualization Tool (FV Tool) for designing and visualization of digital filters.

• Design of IIR and FIR filters using FDA Tool.