IOSR Journal of VLSI and Signal Processing (IOSR-JVSP) Volume 5, Issue 6, Ver. II (Nov -Dec. 2015), PP 91-97 e-ISSN: 2319 – 4200, p-ISSN No. : 2319 – 4197 www.iosrjournals.org DOI: 10.9790/4200-05629197 www.iosrjournals.org 91 | Page Design of Analog and Digital Beamformer for 60GHz MIMO Frequency Selective Channel through Second Order Cone Programming V.Muthu Kumar 1 , V.Karthick 2 , and A.Suban 3 1 PG Final Year Student, 2 Lecture, 3 Assitant Professor Department of ECE Velammal College of Engineering and Technology, Madurai, INDIA. Abstract: In this work Analog and Digital Beamformer system is considered in Frequency Selective Channel. Analog beamforming vector will be designed using SOCP; while digital beamforming will be performed using precoding and postcoding techniques. A novel method of designing analog beamforming considering the practical frequency selective fading channel parameter is proposed. The proposed method is optimal in a sense that for a given number of RF chains, the weighted sum of the squared distances between the combined analog and digital beamforming vectors derived by the proposed method and the ideal beamforming vectors is minimized, where the weights are the singular values corresponding to the singular vectors. The proposed architecture uses antenna element spacing derived from the principles of diffraction limited optics to establish multiple parallel data channels. Operation at millimeter wave carrier frequencies reduces the antenna array size to reasonable dimensions. The simulations will be performed in MATLAB using CVX tool. Keywords: Analog and Digital Beamformer, Frequency Selective Channel, Second Order Cone Programming. I. Introduction Millimeter wave Communication is a most recent technology in wireless communication to increase the effective range of radio without exceeding the power output limits that exist in unlicensed bands throughout the world. It is used in mobile data services and available in higher bandwidth. The antenna array has played a vital role in reduce the size and power consumption of the communication devices. The gain offered by the millimeter wave required MIMO signal processing which leverages higher aperture. The MIMO system provides generally two types of gain known as spatial multiplexing and diversity gain. The multiplexing gain transmits independent data signals from different antennas to increase the throughput. The diversity gain will provide the receiver with multiple identical copies of a given signal to combat fading. The faster bit error rate will decrease the function of the signal SNR. The ISI can also be reduced by using smart antenna techniques. Higher cost only due to the deployment on multiple antennas. In the non-blocked line-of-sight path between a transmitter (TX) and a receiver (RX) and we are only concerned with a single spatial stream (without spatial multiplexing), the optimal beamforming vector is nearly frequency flat over a range of few GHZ bandwidth. Otherwise, on the other hand the optimal beamforming vector (for a single spatial stream) or matrix for (multiple spatial streams) may be frequency selective. The combined analog and digital beamformer could be adapted to frequency. The performance of such activity is expected to depend on the number of RF chains. However the allowable number of RF chains is limited due to the implementation complexity .The RF chains have devices are power amplifier, combiner, baseband receiver unit, alarm extension, transceiver, control function. II. Beamforming The multiple antennas at the transmitter and receiver can be used to obtain diversity gain instead of capacity gain. The same symbol weighted by a complex scale factor, is sent over each transmit antenna, so that the input covariance matrix has unit rank The diversity gain will depends on whether or not the channel is known at the transmitter. The beamforming technique is used in smart antenna to improve the wireless system performance. Generally there are two types of beamforming. (A) Analog Beamformer (B) Digital Beamformer