# 2K6 EE 702 : DIGITAL SIGNAL PROCESSING

**Module I (13 hours)**

Discrete Signals – Signal Representation – Standard Discrete Time Signals – Classification of Discrete Time Signals – Basic Operations on Discrete Signals – Shifting, Time Reversal, Time Scaling, Scalar Multiplication, Signal Multiplier, Addition operation. Discrete Time System – Classifications- Static & Dynamic Systems, Time Variant & Time Invariant Systems, Causal & Non Causal Systems, Linear & Non Linear Systems, FIR and IIR Systems, Stable & Unstable Systems – Representation of arbitrary Sequence. Impulse Response and Convolution Sum, Convolution and Correlation of two Sequences – Inverse System – de convolution. Analysis of LTI discrete systems – Solution of difference equations by direct method, natural response, forced response- Step response and determination of impulse response h(n) from second order difference equation.**Module II (12 hours)**

Frequency domain representations – representations of Discrete time Fourier series(DTFS)- Discrete time Fourier transform(DTFT) and its properties – frequency response of LTI Discrete- time system – sampling – aliasing effect- sampling theorem- – Z transforms – inverse Z transforms – bilinear transformation. Representation of discrete Fourier series (DFS) – Discrete Fourier transforms (DFT) and its properties. Inverse Discrete Fourier transforms (IDFT) – linear convolution – circular convolution – linear convolution with circular convolution using DFT – overlap – add method – overlap – save method.**Module III (14 hours)**

FFT – Radix2 DIT FFT algorithm – Radix2 DIF FFT algorithm – IDFT using FFT algorithmbutterfly structure – bit reversed order – in – place computations Structures for realization of IIR systems and FIR systems. Quantization noise – derivation for quantization noise power – Fixed point and binary floating point number representation – comparison – over flow error – truncation error –DSP chips – architecture of fixed point DSP core (schematics only)**Module IV (13 hours)**

Digital filter design techniques – design of IIR filters from analog filters – analog to digital transformation – backward – difference and forward – difference approximations – impulse invariant transformation – bilinear transformation – prewarping – analog butterworth function for various filters – design example – properties of FIR filters – design of FIR filters using windows – comparison of IIR and FIR filters – finite word length effect in DSP

**Text books**

1. Oppenhiem A.V. & Schafer R.W., Discrete-Time Signal Processing, Prentice Hall of India

2. Mitra S.K., Digital Signal Processing – A Computer Based Approach, Tata McGraw Hill**Reference books**

1. Ziemer R.E., Tranter W.H., & Fannin D.R, Signals And Systems-Continuous And Discrete, Pearson Education

2. Proakins J.G. & Manolakins D.G., Digital Signal Processing-Principles Algorithms And Applications, Prentice Hall of India

3. Rabiner L.R. & Gold B, Theory and Application of Digital Signal Processing, Prentice Hall Of India

4. Ifeachor E.C., & Jervis B.W., Digital Signal Processing-A Practical Approach, Addison Wesley

5. DSP Users Manual, Texas Instruments, TMS320C54*DSP

6. CPU And peripherals reference set Vol. 1, DSP solutions