Iterative Hard Thresholding Algorithm Using Norm Exponent

Due to numerous data that is required to transfer in the information age, there is an increasing demand of computation and memory usage. Compressed sensing (CS) appears to be a promising technique in order to save both the computation and data storage. Iterative hard thresholding (IHT) is one of the signal recovery methods in the CS. Despite its fast computation, the IHT often delivers poor performance in the signal reconstruction accuracy. To solve this issue, we present an improved IHT in this work by using the fractional norm. Numerical simulation is demonstrated to illustrate better accuracy of the signal reconstruction than former approaches in various scenarios.