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Transcript of digital filters
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Department of Microelectronics,
Indian Institute of Information Technology, Allahabad
SUBMITTED BY:
Prashant singh(imi2011003)Rahul Patidar(imi2011011)
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Introduction Classification Types Structures Digital Vs Analog filters Refrences
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Electronic circuits which perform signal processing functions, remove unwanted frequency component, to enhance wanted ones, or both.
Digital filter-Performs mathematical operations on a sampled,discrete time signal to reduce or enhance certain aspects of that signal.
Filters generally do not add frequ- ency components to a signal. Boost or attenuate selected frequ- ency regions.
Digital Fil tering
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Magnitude response consideration. Four basic types of ideal filters with magnitude responses as shown
below
π
1
ω0 ωc –ωc
HLP(e jω)
− π π ω
0 ωc –ωc
1
HHP (e jω)
− π
π− π ω
11–
–ωc1 ωc1 –ωc2 ωc2
HBP (e jω)
− π π ω
1
–ωc1 ωc1 –ωc2 ωc2
HBS(e jω)
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Depending on the form of the filter equation (a) Linear filters versus nonlinear filters.
(b) Time-invariant filters versus time-varying filters.
(c) Adaptive filters versus non-adaptive filters. (d) Recursive versus non-recursive filters.
Depending on the structure of implementation(a) Direct-form, cascade-form, parallel-form and lattice structures.
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A class of linear filters whose behavior does not change over time- Linearity implies that the filter meets the scaling and superposition properties.
Two types1.FIR filter
-Operate only on previous values of the input
2.IIR filter-Operates on previous values of input & output both
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A recursive filter has feedback from output to input, and in general
its output is a function of the previous output samples and the present and past input samples
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A non recursive filter has no feedback from output to input, and in general its output is a function of the present and past input samples
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Direct Form
Direct Filter Structure
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Cascade Form
Cascade Filter Structure
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Parallel Form
Parallel Form Structure
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DIGITALHigh AccuracyLinear Phase (FIR Filters)Flexible, Adaptive Filtering PossibleEasy to Simulate and DesignComputation Must be Completed inSampling Period - Limits Real Time OperationRequires High Performance ADC,DAC & DSP
ANALOGLess Accuracy–Component Tolerances
Non-Linear PhaseAdaptive Filters DifficultDifficult to Simulate and DesignAnalog Filters Required at High Frequencies and for Anti-Aliasing FiltersNo ADC, DAC, or DSP Required
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Introduction to Speech Processing | Ricardo Gutierrez-Osuna | CSE@TAMU, chapter 10 of [Taylor, TTS synthesis, 2009]. An Introduction to Digital Filters,application note,january1999, Intersil and Design is a trademark of Intersil Corporation. |
Copyright©Intersil Corporation 2000 Digital Filters and Z Transforms,Copyright © Richard C. Bailey and David M. Harrison, 1998, 1999 http://en.wikipedia.org/wiki/Digital_filter
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