Compressed Sensing (CS) is a new signal acquisition technology that enables the reduction in the number of measurements required for recovery of sparse or compressible signal in some basis. Signal recovery is carried out with the help of optimization techniques. Here we are conducting a review of some of these algorithms and trying to find the best algorithm to make use of that in launch vehicle telemetry system.Index Terms-Compressed Sensing (CS); Artificial Neural Network (ANN); recovery precision; convergence rate; measurement matrix; III generation Launch Vehicle (LVM3), Telemetry.

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