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Matched Filter & Pulse Compression
Skolnik / Richards — Waveform Design and SNR Gain
Waveform
Rectangular Pulse
LFM Chirp
Barker-13 (Phase Coded)
m-sequence (L=127)
Parameters
Pulse Width (samples)
64
Bandwidth-Time Product BT
16
Scenario
SNR input (dB)
-5
Target 2 delay (samples)
100
Target 2 amplitude
0.5
Metrics
Processing Gain
—
Compression Ratio
—
Output SNR
—
3dB Width
—
Peak Sidelobe (dB)
—
Matched Filter
h(t) = s*(T-t)
(time-reversed conjugate)
Processing gain = BT product
LFM: BT can be large (>100)
Barker: max BT=13
m-seq: BT = code length
Output SNR = Input SNR + 10log
10
(BT)