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Paper addresses Channel Estimation by means of Compressive Sensing (CS). Here system under consideration is OFDM. Paper reviews the emerging techniques of pilot design and allocation schemes. With the said pilot allocation techniques performance improvement in Mean square Error (MSE) and Bit Error Rate (BER) is achieved. Spectral efficiency can be considerably improved with channel estimation exploiting compressive sensing. Prominent algorithms are designed to attain better estimation accuracy even with reduction in pilot subcarrier figure. Comparatively simple CS structures with least computation complexity also reviewed in the projected paper.