Lecture 12 - Digital Filters and the Z Domain(1).pptx

Lecture 12 - Digital Filters and the Z Domain(1).pptx -...

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BMEN 3350 – Biomedical Component and System Design Lecture 12 Digital filters and the Z-domain.
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BMEN 3350 – Lecture 12 Digital Filters Digital Filter x[n] y[n] A digital filter is an algorithm which operates on a sequence of numbers (signal) to transform them into a sequence with more desirable properties.
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BMEN 3350 – Lecture 12 Digital Filters Digital filters may be used in addition to, or in place of, analog filters. They are often a major part of a modern biomedical signal processing toolchain.
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BMEN 3350 – Lecture 12 Digital Filters vs. Analog Filters + + + + + - - - - - - - + +
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BMEN 3350 – Lecture 12 Filter Classification – Linear Time Invariance (LTI) LTI Digital Filter x[n] y[n ] LTI Digital Filter x[n-k] y[n-k] Time Invariance: Linearity: Defined by the principle of superposition. LTI Digital Filter x[n 1 ] y[n 1 ] LTI Digital Filter x[n 2 ] y[n 2 ] LTI Digital Filter ax[n 1 ]+bx[n 2 ] ay[n 1 ]+by[n 2 ] We will only work with LTI filters in this class.
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BMEN 3350 – Lecture 12 Filter Classification – Impulse Response Finite Impulse Response (FIR) filters depend only on the state of past and present input samples.
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