Signal Processing First CH 8 IIR Filters 1. 8-1 The General IIR Difference Equation 2 feedback term recursive filter FIR part No. of coeff. = N+M+1.

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Presentation transcript:

Signal Processing First CH 8 IIR Filters 1

8-1 The General IIR Difference Equation 2 feedback term recursive filter FIR part No. of coeff. = N+M+1

8-2 Time-Domain Response 3

Linearity and Time Invariance of IIR Filters

8-2 Time-Domain Response Linearity and Time Invariance of IIR Filters

8-2 Time-Domain Response Impulse Response of a First-Order IIR System

8-2 Time-Domain Response Impulse Response of a First-Order IIR System

8-2 Time-Domain Response Response to Finite-Length Inputs  Characteristics of IIR filter With the Initial Rest Cond., output is 0 until the input comes. In case of the 1-st order IIR, impulse response is infinite & becomes geometric series as input disappears & time goes by.

8-2 Time-Domain Response Step Responses of a First-Order Recursive System

8-2 Time-Domain Response Step Responses of a First-Order Recursive System

8-3 System Function of an IIR Filter The General First-Order Case

8-3 System Function of an IIR Filter The System Function and Block-Diagram Structures

8-3 System Function of an IIR Filter 13 (Save 1 delay device) =

8-3 System Function of an IIR Filter Relation to the Impulse Response

8-4 Poles and Zeros Pole Locations and Stability

8-4 Poles and Zeros Frequency Response of an IIR Filter

8-7 The Inverse z-Transform and Some Applications 17

8-7 The Inverse z-Transform and Some Applications Revisiting the Step Response of a First-Order System

8-7 The Inverse z-Transform and Some Applications A General Procedure for Inverse z-Transformation

8-7 The Inverse z-Transform and Some Applications A General Procedure for Inverse z-Transformation

8-8 Steady-State Response and Stability 21

8-8 Steady-State Response and Stability 22

23 HW #5 (Do not submit ! But prepare the final exam.) HW #5 - Textbook Problems: p P-8.1, 8.4, 8.6, 8.8, 8.10, 8.11, 8.12, 8.15

8-9 Second Order Filters z-Transform of Second-Order Filters

8-9 Second Order Filters Structures for Second-Order IIR Systems

8-9 Second Order Filters Poles and Zeros

8-9 Second Order Filters Poles & Zeros

8-9 Second Order Filters Impulse Response of a Second-Order IIR System

Second Order Filters Impulse Response of a Second-Order IIR System

Second Order Filters Impulse Response of a Second-Order IIR System

Second Order Filters Impulse Response of a Second-Order IIR System

Second Order Filters Impulse Response of a Second-Order IIR System

Second Order Filters Impulse Response of a Second-Order IIR System

Frequency Response of Second-Order IIR Filter

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