数字信号处理a(双语)cha(1)
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One way to arrive at such a structure is to determine a large number of equivalent structures, analyze the finite word length effects in each case, and select the one showing the least effects
In this course we restrict our attention to a discussion of some commonly used structures
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8.2 Equivalent Structures
However, a fairly simple way to generate an equivalent structure from a given realization is via the transpose operation
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8.2 Equivalent Structures
Hence, it is important to choose a structure that has the least quantization effects when implemented using finite precision arithmetic
Chapter 8
Digital Filter Structures
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Digital Filter Structures
8.1 Block Diagram Representation
8.2 Equivalent Structures
8.3 Basic FIR Digital Filter Structures
However, in practice, due to the finite word length （有限字长）limitations, a specific realization behaves totally differently from its other equivalent realizations
There are literally an infinite number of equivalent structures realizing the same transfer function
It is thus impossible to develop all equivalent realizations
8.Leabharlann Baidu FIR Tapped Cascaded Lattice Structures
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8.1 Block Diagram Representation
Input-output relation of an LTI system can be realized using different computational algorithms
8.4 Basic IIR Digital Filter Structures
8.5 Realization of Basic Structures Using MATLAB
8.6 Allpass Filters
8.7 IIR Tapped Cascaded Lattice Structures
An FIR filter of order N－1 is characterized by N coefficients and, in general, require N multipliers and N－1 two-input adders
Transpose Operation
(1) Reverse all paths (2) Replace pick-off nodes by adders, and vice versa (3) Interchange the input and output nodes All other methods for developing equivalent
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10
8.3 Basic FIR Digital Filter Structures
Direct Form Cascade Form Linear-phase Structure
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8.3 Direct Form-FIR Filter
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8.3 Direct Form-FIR Filter
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8.1 Block Diagram Representation
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8.1 Block Diagram Representation
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8.1 Block Diagram Representation
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8.2 Equivalent Structures
Two digital filter structures are defined to be equivalent if they have the same transfer function
Mitra’s book covers also various more
sophisticated realizations of digital filters, e.g. lattice structures, allpass sections, and state space structures, not discussed in this course
structures are based on a specific algorithm for each structure
精选ppt
8
8.2 Equivalent Structures
Under infinite precision（无限精度） arithmetic any given realization of a digital filter behaves identically to any other equivalent structure
In this course we restrict our attention to a discussion of some commonly used structures
精选ppt
7
8.2 Equivalent Structures
However, a fairly simple way to generate an equivalent structure from a given realization is via the transpose operation
精选ppt
9
8.2 Equivalent Structures
Hence, it is important to choose a structure that has the least quantization effects when implemented using finite precision arithmetic
Chapter 8
Digital Filter Structures
精选ppt
1
Digital Filter Structures
8.1 Block Diagram Representation
8.2 Equivalent Structures
8.3 Basic FIR Digital Filter Structures
However, in practice, due to the finite word length （有限字长）limitations, a specific realization behaves totally differently from its other equivalent realizations
There are literally an infinite number of equivalent structures realizing the same transfer function
It is thus impossible to develop all equivalent realizations
8.Leabharlann Baidu FIR Tapped Cascaded Lattice Structures
精选ppt
2
8.1 Block Diagram Representation
Input-output relation of an LTI system can be realized using different computational algorithms
8.4 Basic IIR Digital Filter Structures
8.5 Realization of Basic Structures Using MATLAB
8.6 Allpass Filters
8.7 IIR Tapped Cascaded Lattice Structures
An FIR filter of order N－1 is characterized by N coefficients and, in general, require N multipliers and N－1 two-input adders
Transpose Operation
(1) Reverse all paths (2) Replace pick-off nodes by adders, and vice versa (3) Interchange the input and output nodes All other methods for developing equivalent
精选ppt
10
8.3 Basic FIR Digital Filter Structures
Direct Form Cascade Form Linear-phase Structure
精选ppt
11
8.3 Direct Form-FIR Filter
精选ppt
12
8.3 Direct Form-FIR Filter
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3
8.1 Block Diagram Representation
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4
8.1 Block Diagram Representation
精选ppt
5
8.1 Block Diagram Representation
精选ppt
6
8.2 Equivalent Structures
Two digital filter structures are defined to be equivalent if they have the same transfer function
Mitra’s book covers also various more
sophisticated realizations of digital filters, e.g. lattice structures, allpass sections, and state space structures, not discussed in this course
structures are based on a specific algorithm for each structure
精选ppt
8
8.2 Equivalent Structures
Under infinite precision（无限精度） arithmetic any given realization of a digital filter behaves identically to any other equivalent structure