{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

17DigitalFilter - MAE 591 RANDOM DATA Digital Filter Analog...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
MAE 591 RANDOM DATA Digital Filter Analog linear filter can be expressed as: y t h x t d ( ) ( ) ( ) = −∞ τ τ τ where x ( t ) and y ( t ) are the filter input and output, and h ( τ ) is the weighting function of filter. And the frequency response of the filter becomes H f h e d i f ( ) ( ) = −∞ τ τ π τ 2 The digital filter structure is the general tapped delay-line filter described by the difference equation: y n b k x n k a m y n m k n m n b a ( ) ( ) ( ) ( ) ( ) = + + = + = + 1 1 1 1 2 1 or equivalently, the z-transform: H z Y z X z b b z b z b n z a z a z a n z b n a n b a ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) = = + + + ⋅⋅⋅⋅⋅ + + + + + ⋅⋅⋅⋅⋅ + + 1 2 3 1 1 2 3 1 1 2 1 2 and the Fourier transform: + = = + = = 1 2 ) 1 ( 2 1 2 ) ( 1 ) ( ) ( ) ( ) ( a b n m t m f i n k t fk i e m a e k b f X f Y f H π π Filter structure: y n x n b 1 b 2 b 3 -a 2 -a 3 z -1 z -1 Digital filters may be used for a range of applications such as rejecting unwanted signals, data smoothing, sample rate conversion (upward and downward decimation), zoom analysis and inverse filtering.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
MAE 591 RANDOM DATA Design methodologies for digital filter are categorized by: (rf. The Student Edition of MATLAB , 1992) 1. Infinite impulse response(IIR) filter design using analog prototypes. Analog filters are designed first, when only the magnitude response performance specifications are given, and then transformed into discrete equivalents.
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern