Chapter 6 Digital Filter Structures
Chapter 6 Digital Filter Structures
§6. Introduction The convolution sum description of an Lti discrete-time system can, in principle, be used to implement the system For an IR finite-dimensional system this approach is not practical as here the impulse response is of infinite length However, a direct implementation of the IIR finite-dimensional system is ractical
• The convolution sum description of an LTI discrete-time system can, in principle, be used to implement the system • For an IIR finite-dimensional system this approach is not practical as here the impulse response is of infinite length • However, a direct implementation of the IIR finite-dimensional system is practical §6.1 Introduction
§6. Introduction Here the input-output relation involves a finite sum of products y=∑ *k=kJn-k1+M k=ePhrin On the other hand, an fir system can be implemented using the convolution sum which is a finite sum of products y]=∑20列人]xm-k
• Here the input-output relation involves a finite sum of products: ∑ = ∑ = = − − + − M k k N k k y n d y n k p x n k 1 0 [ ] [ ] [ ] ∑ = = − N k y n h k x n k 0 [ ] [ ] [ ] §6.1 Introduction • On the other hand, an FIR system can be implemented using the convolution sum which is a finite sum of products:
§6. Introduction The actual implementation of an LtI digital filter can be either in software or hardware form, depending on applications In either case, the signal variables and the filter coefficients cannot be represented with finite precision
• The actual implementation of an LTI digital filter can be either in software or hardware form, depending on applications • In either case, the signal variables and the filter coefficients cannot be represented with finite precision §6.1 Introduction
§6. Introduction A structural representation using interconnected basic building blocks is the first step in the hardware or software implementation of an Lti digital filter The structural representation provides the key relations between some pertinent internal variables with the input and output that in turn provides the key to the implementation
• A structural representation using interconnected basic building blocks is the first step in the hardware or software implementation of an LTI digital filter • The structural representation provides the key relations between some pertinent internal variables with the input and output that in turn provides the key to the implementation §6.1 Introduction