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Electrical Communications Systems 0909.331.01 Spring 2005. Lecture 12a April 26, 2005. Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/spring05/ecomms/. Plan. Broadcast Transmitters and Receivers AM Broadcast Transmitter
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Electrical Communications Systems0909.331.01Spring 2005 Lecture 12aApril 26, 2005 Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/spring05/ecomms/
Plan • Broadcast Transmitters and Receivers • AM Broadcast Transmitter • Class-C Amp Collector Modulator • TRF Receiver • Superheterodyne Receiver • Performance of Comm. Systems corrupted by Noise • Performance Measures: Digital and Analog • Thermal (Johnson) Noise • Amplitude: Recall Random Variables: lab1.ppt • Power Spectral Density • Autocorrelation function • Wiener-Khintchine Theorem
Buffer Amplifier Impedance Matching Network Temp. Stabilized Crystal Oscillator Class-C Modulated Power Amp. Stage Class-C Modulated Power Amp. Stage Demodulator + Modulator Driver Amplifier Audio Amplifier Audio Input S - AM Broadcast Transmitter
ic p 2p wt ic ic ic p 2p wt p 2p p 2p wt wt Amplifier Classification Class B Class A Class C Class AB
BJT Collector Modulator Output Characteristics Circuit
BJT Collector Modulator Operation Circuit
AM Receiver • Purpose • Demodulate received signal • Requirements • Carrier frequency tuning • Filtering • Amplification
I + C r V L - Tuning Circuits Series Tuned Circuit
Series Tuned Circuit function [f,A]=resonance(f0,Q) %ECOMMS Spring 00 Class Demo %S. Mandayam, ECE Dept., Rowan University %To illustrate series resonance and Q-factor close all; %defining frequency axis f=f0-f0/2:0.1:f0+f0/2; %calculating relative response y=(f/f0)-(f0./f); A=20*log10(1./(1+(y*Q).^2).^0.5); plot(f-f0,A);grid on; xlabel('Shift from resonant frequency in Hz'); ylabel('Relative Response in dB'); title('Series Tuning Circuit');
Tuning Circuits Parallel Tuned Circuit I + r V C L - Active Tuned Circuits?
Tuned Radio Frequency (TRF) Receiver Active Tuning Circuit Detector Circuit Bandpass Filter Baseband Audio Amp Local Oscillator
All Incoming Frequencies Fixed Intermediate Frequency Heterodyning (Upconversion/ Downconversion) Subsequent Processing (common) Heterodyning
Superheterodyne Receiver fm fm fIF fIF RF Amplifier H1(f) IF Amplifier H2(f) Audio Amp Mixer Detector fRF or fc Local Oscillator fLO Common tuning Downconversion fIF = |fRF - fLO| Upconversion fIF = fRF + fLO
Performance of Communications Systems Corrupted by Noise Analog Output SNR Digital Bit Error Rate (BER)
Noise • A random, unwanted fluctuation in signal amplitude • Thermal (Johnson) Noise • Amplitude vs. time: Gaussian PDF Model • See Lab1 Pre-lab Lecture: lab1.ppt • We also want to know how much noise power there is per Hz – why?
|W(f)| |W(f)| 0 fc -fc f Bandpass 0 2. Demodulation 1. Modulation f Baseband |W(f)| 3. Demodulation -fIF fIF 0 f Bandpass Why?
Power Spectral Density (PSD) • Normalized power of a waveform in the frequency domain • Used for measuring signal/noise power loss/transfer in communications system blocks
F Rw(t) Pw(f) Rx(t) Slowly fluctuating signal rapidly fluctuating signal t (time delay) 0 Autocorrelation Function • Measure of • similarity of a waveform observed at times t seconds apart • how rapidly a random waveform fluctuates with time Matlab Demo: autocorr.m Wiener-Khintchine Theorem
-21 PSD of thermal noise x 10 2 1.5 PSD, W/Hz 1 0.5 0 0 0.5 1 1.5 2 2.5 3 frequency, Hz 12 x 10 Thermal (Johnson) Noise Matlab script: psd_noise.m