2. GROUP MEMBERS ELISHBA KHALID 07-CP-07 TAHIRA SAMEEN 07-CP-31

3. INFINITE IMPLUSE RESPONSE

4. PRESENTATION LAYOUT Introduction IIR Systems IIR Filters Types of IIR Filters Block Diagram Uses Of IIR Applications Of IIR Conclusion

5. INTRODUTION Sample of output is the weighted sum of past and current samples of input Property of signal processing systems

6. IIR SYSTEM IIR systems have an infinite impulse response Opposite to FIR Consider Time Zero

7. FILTERS Filter the Signal Process Of Compressing System Electronic Systems

8. FILTER REPRESENTATION Difference equation Recursive computation needs y[-1] and y[-2]) Transfer function

9. IIR FILTERS Property of IIR Types Fast And Cheap Poor Bandpass Filtering

10. TYPES OF IIR FILTERS Analog Digital

11. DIGITAL IIR FILTERS Infinite Impulse Response (IIR) filter has impulse response of infinite duration, e.g. implement the IIR filter Z Recursively compute output, given y[-1] and x[k]

12. Block Diagram

13. STABILITY Bounded input x[k] such that | x[k] |  B < , then the filter response y[k] is also bounded | y[k] |  B <  IIR filter is stable if and only if its poles lie inside the unit circle

14. STABILITY RULES For a signal, poles are inside the unit circle Unit circle is in the region of convergence. All FIR filters are stable

15. MATLAB COMMAND MATLAB's freqz command displays the frequency responses of IIR filters and FIR filters

16. USES OF IIR FILTERS Noise removal Example: bandpass filtering to suppress out-of-band noise Spectral analysis, synthesis, and compression Examples: calculating power spectra

17. APPLICATION Data conversion Channel equalization Carrier frequency and phase recovery

18. REFRENCES http://www.Wikipideia.com http://www.google.com Lectures Of Prof.Brian L.Evains Signals and System By OOPENHEM

19. CONCLUSION

20. THANKS