Algorithms for fast convolution, Algorithmic strength reduction in filters and transforms: Parallel FIR Filters, DCT and inverse DCT, Parallel Architectures for Rank-Order Filters.
Scaling and Round off Noise - State variable description of digital filters, Scaling and Round off Noise computation, Round off Noise in Pipelined IIR Filters, Round off Noise Computation using state variable description, Slow-down, Retiming and Pipelining.
Bit level arithmetic Architectures- parallel multipliers, interleaved floor-plan and bit-plane-based digital filters, Bit serial multipliers, Bit serial filter design and implementation, Canonic signed digit arithmetic, Distributed arithmetic.
Redundant arithmetic -Redundant number representations, carry free radix-2 addition and subtraction, Hybrid radix-4 addition, Radix-2 hybrid redundant multiplication architectures, data format conversion, Redundant to Nonredundant converter.
Numerical Strength Reduction - Subexpression Elimination, Multiple Constant Multiplication, Subexpression Sharing in Digital Filters, Additive and Multiplicative Number Splitting.
1. K.K.Parhi, “VLSI Digital Signal Processing Systems”, John-Wiley, 2007
1. U. Meyer -Baese, Digital Signal Processing with FPGAs, Springer, 2004
2. Wayne Burleson, Konstantinos Konstantinides, Teresa H. Meng, VLSI Signal Processing,1996.
3. Richard J. Higgins, Digital signal processing in VLSI, 1990.
4. Sun Yuan Kung, Harper J. Whitehouse, VLSI and modern signal processing, 1985
5. Magdy A. Bayoumi, VLSI Design Methodologies for Digital Signal Processing, 2012
6. Earl E. Swartzlander, VLSI signal processing systems, 1986.
Students are able to
CO1: learn various transforms and its corresponding architectures
CO2: acquire the knowledge of effect of round off noise computation
CO3: design Bit level arithmetic Architectures and optimize the implementation of FIR filters and constant multipliers
CO4: design basic arithmetic units and realize their architecture for higher radices
CO5: learn different numerical strength reduction techniques
