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Mathematics of Multipath Distortion. Dr. A. J. Van Dierendonck AJ Systems. Multipath Effects. Composite Signal a = Relative multipath signal amplitude d = Multipath delay in seconds C f ( t ) = Pre-correlation filtered PN Code Filtered Autocorrelation Function. Composite Discriminators.

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mathematics of multipath distortion

Mathematics of Multipath Distortion

Dr. A. J. Van Dierendonck

AJ Systems

IMA

multipath effects
Multipath Effects
  • Composite Signal
    • a = Relative multipath signal amplitude
    • d = Multipath delay in seconds
    • Cf(t) = Pre-correlation filtered PN Code
  • Filtered Autocorrelation Function

IMA

composite discriminators
Composite Discriminators
  • Coherent DLL
  • Non-Coherent DLL (Dot Product)

IMA

computing multipath error
Computing Multipath Error
  • Set the E(dtk) to zero; Solve (iteratively) for tk as a function of phase fm and multipath delay d
    • fm = 0°and 180° yields maximum error amplitude results (error envelope)

IMA

multipath error envelopes with 20 mhz bandwidth
MULTIPATH ERROR ENVELOPES WITH 20 MHz BANDWIDTH
  • Non-Coherent Discriminator; a = 0.5

IMA

multipath error envelopes with narrower bandwidths
MULTIPATH ERROR ENVELOPES WITH NARROWER BANDWIDTHS
  • Non-Coherent Discriminator; a = 0.5

IMA