vlsi digital signal processing systems parhi solutions

#VLSI DIGITAL SIGNAL PROCESSING SYSTEMS PARHI SOLUTIONS SOFTWARE#

so for the signal, the sample period (Ts ) must satisfy: Introduction (cont’d) – Assume the execution times of multiplier and adder are Tm & Ta, then the iteration period for this example is Tm+ Ta (assume 10ns, see the red-color box).

Iteration period: the time required for execution of one iteration of algorithm (same as sample period) – Example: y ( n ) = a ⋅ y ( n − 1) + x ( n ) 1 i.Iteration: execution of all computations (or functions) in an algorithm once – Example 1:.Iteration Bound – Important Definitions and Examples – Techniques to Compute Iteration Bound.Loop Bound – Important Definitions and Examples.– Nodes can describe expanders/decimators in Multi-Rate DFGs DFGs and Block Diagrams can be used to describe both linear single-rate and nonlinear multi-rate DSP systems Įxamples of DFG – Nodes are complex blocks (in Coarse-Grain DFGs) Adaptive filtering.Inter-iteration precedence constraint: if the edge has one or more delays.Intra-iteration precedence constraint: if the edge has zero delays.– Each edge describes a precedence constraint between two nodes in DFG: – DFG captures the data-driven property of DSP algorithm: any node can perform its computation whenever all its input data are available. Graphical Representation Method 3: Data-Flow Graph – DFG: nodes represent computations (or functions or subtasks), while the directed edges represent data paths (data communications between nodes), each edge has a nonnegative number of delays associated with it.For example, Flow graph reversal or transposition is one of these transformations (Note: only applicable to single-input-singleoutput systems) – Usually used for linear time-invariant DSP systems representation Graphical Representation Method 2: Signal-Flow Graph – SFG: a collection of nodes and directed edges – Nodes: represent computations and/or task, sum all incoming signals – Directed edge (j, k): denotes a linear transformation from the input signal at node j to the output signal at node k – Linear SFGs can be transformed into different forms without changing the system functions.Graphical Representation Method 1: Block Diagram – Consists of functional blocks connected with directed edges, which represent data flow from its input block to its output block x(n).Representation Methods of DSP systems Example: y(n)=a*x(n)+b*x(n-1)+c*x(n-2) Since the capacitance of the multiplier is usually dominant, reduction of the number of multiplications is important (this is possible through strength reduction).Latency reduction Techniques => Increase in speed or power reduction through lower supply voltage operation.Achieve Required Speed, Area-Power Tradeoffs.

3-Dimensional Optimization (Area, Speed, Power).

Y ( n ) = a ⋅ x ( n ) + b ⋅ x ( n − 1) + c ⋅ x ( n − 2 ) end

#VLSI DIGITAL SIGNAL PROCESSING SYSTEMS PARHI SOLUTIONS SOFTWARE#

Usually highly real-time, design hardware and/or software to meet the application speed constraint samples in.

Representations of DSP Algorithms (Sec.

Need to design Families of Architectures for specified algorithm complexity and speed constraints.

Applications dictate different speed constraints (e.g., voice, audio, cable modem, settop box, Gigabit ethernet, 3-D Graphics).

Non-Terminating Programs Require Real-Time Operations.

Parhi, VLSI Digital Signal Processing Systems: Design and Implementation, John Wiley, 1999

Vlsi digital signal processing systems parhi solutions