Image transmission over a noisy channel is vital in the recent time because of reliable multimedia transmission. This topic has gained importance for the purpose of achieving less storage capacity and required bandwidth during transmitting the image through a noisy channel. In this paper, prior exertions of compressed image transmission are illustrated. These exertions are based on two compressed methods i.e., Discrete Wavelet transform (DWT) and Discrete Cosine Transform (DCT). Furthermore, overviews of the polar coding are presented which are used as encoder and decoder for converting the compressed quantized values to binary code streams. In addition, the overall advantages of the HQAM over the QAM modulation scheme are demonstrated in this paper. Finally, by exploring the preceding efforts, a method is proposed for future work. In the proposed method the performance of HQAM is analyzed for DWT and DCT after transmitting the image through the noisy AWGN channel.