chap4_lec2 - Eeng 360 1 Chapter4 Bandpass Signalling...

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Unformatted text preview: Eeng 360 1 Chapter4 Bandpass Signalling Bandpass Filtering and Linear Distortion Bandpass Sampling Theorem Bandpass Dimensionality Theorem Amplifiers and Nonlinear Distortion Total Harmonic Distortion (THD) Intermodulation Distortion (IMD) Huseyin Bilgekul Eeng360 Communication Systems I Department of Electrical and Electronic Engineering Eastern Mediterranean University Eeng 360 2 Bandpass Filtering and Linear Distortion Equivalent Low-pass filter: Modeling a bandpass filter by using an equivalent low pass filter (complex impulse response) ] ) ( Re[ ) ( 1 1 t jw c e t g t v = ] ) ( Re[ ) ( 2 2 t jw c e t g t v = ] ) ( Re[ ) ( 1 1 t jw c e t k t h = * 1 1 ( ) ( ) ( ) 2 2 c c H f K f f K f f =- +- ( 29 ( 29 [ ] c c f f G f f G f V-- +- = * 2 1 ) ( ( 29 { } t j c e t g t v ϖ ) ( Re = ) ( 1 t v ) ( 2 t v ) ( 1 t h ) ( f H Input bandpass waveform Output bandpass waveform Impulse response of the bandpass filter Frequency response of the bandpass filter H ( f ) = Y ( f )/ X ( f ) Bandpass filter Eeng 360 3 Bandpass Filtering Eeng 360 4 Bandpass Filtering ( 29 ( 29 ( 29 ; 2 1 2 1 2 1 1 2 t k t g t g = ( 29 ( 29 ( 29 f K f G f G 2 1 2 1 2 1 1 2 = ( 29 ( 29 ( 29 f H f V f V 1 2 = ( 29 ( 29 [ ] c c f f G f f G-- +- * 2 2 2 1 ( 29 ( 29 [ ] ( 29 ( 29 [ ] c c c c f f K f f K f f G f f G-- +--- +- = * * 1 1 2 1 2 1 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ---- +--- +--- +-- = c c c c c c c c f f K f f G f f K f f G f f K f f G f f K f f G * * 1 * 1 * 1 1 4 1 ( 29 ( 29 , * 1 =--- c c f f K f f G Theorem: g (t) – complex envelope of input k(t) – complex envelope of impulse response Also, Proof: Spectrum of the output is Spectra of bandpass waveforms are related to that of their complex enveloped But ( 29 ( 29 . * 1 =--- c c f f K f f G ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ---- + -- = -- + - c c c c c c f f K f f G f f K f f G f f G f f G * * 1 1 * 2 2 2 1 2 1 2 1 2 1 2 1 2 1 The complex envelopes for the input, output, and impulse response of a bandpass filter are related by...
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This note was uploaded on 05/24/2011 for the course EE 324 taught by Professor Emreaktaş during the Spring '11 term at Hacettepe Üniversitesi.

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chap4_lec2 - Eeng 360 1 Chapter4 Bandpass Signalling...

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