Doctor of Philosophy (PhD), Wright State University, 2022, Electrical Engineering

Binary multipliers are ubiquitous in digital hardware. Digital multipliers along with the adders play a major role in computing, communicating, and controlling devices. Multipliers are used majorly in the areas of digital signal and image processing, central processing unit (CPU) of the computers, high-performance and parallel scientific computing, machine learning, physical layer design of the communication equipment, etc. The predominant presence and increasing demand for low-power, low-cost, and high-performance digital hardware led to this work of developing optimized multiplier designs. Two optimized designs are proposed in this work. One is an optimized 8 x 8 Booth multiplier architecture which is implemented using 32nm CMOS technology. Synthesis (pre-layout) and post-layout results show that the delay is reduced by 24.7% and 25.6% respectively, the area is reduced by 5.5% and 15% respectively, the power consumption is reduced by 21.5% and 26.6% respectively, and the area-delay-product is reduced by 28.8% and 36.8% respectively when compared to the performance results obtained for the state-of-the-art 8 x 8 Booth multiplier designed using 32nm CMOS technology with 1.05 V supply voltage at 500 MHz input frequency. Another is a novel radix-8 structure with 3-bit grouping to reduce the number of partial products along with the effective partial product reduction schemes for 8 x 8, 16 x 16, 32 x 32, and 64 x 64 signed multipliers. Comparing the performance results of the (synthesized, post-layout) designs of sizes 32 x 32, and 64 x 64 based on the simple novel radix-8 structure with the estimated performance measurements for the optimized Booth multiplier design presented in this work, reduction in delay by (2.64%, 0.47%) and (2.74%, 18.04%) respectively, and reduction in area-delay-product by (12.12%, -5.17%) and (17.82%, 12.91%) respectively can be observed. With the use of the higher radix structure, delay, area, and power consumption can be further reduced. (open full item for complete abstract)

Committee: Saiyu Ren Ph.D. (Advisor); Raymond E. Siferd Ph.D. (Committee Member); Henry Chen Ph.D. (Committee Member); Marian K. Kazimierczuk Ph.D. (Committee Member); Yan Zhuang Ph..D. (Committee Member); Michael Saville Ph.D., P.E. (Other); Barry Milligan Ph.D. (Other) Subjects: Computer Engineering; Electrical Engineering

Master of Science in Engineering (MSEgr), Wright State University, 2013, Electrical Engineering

A ROM-less direct digital synthesizer architecture is presented in this thesis. This architecture eliminates the ROM-based phase to sine wave amplitude converter, which is a bottleneck for pushing clock frequencies into the gigahertz range. The design consists of a 16-bit phase accumulator, a set of 18 band pass finite impulse response filters, a 12-bit digital to analog converter and a low pass filter to produce a sine wave with output frequencies ranging from 36 MHz to 72 MHz with a resolution of 3.05 kHz and a 55 dB spur free dynamic range. The same hardware can be used to achieve output frequency ranging from hertz to gigahertz and a 191 Hz resolution by changing the clock frequency. A resolution of 0.05 Hz can be achieved by using a 32-bit phase accumulator. The average phase noise obtained was -87 dBc/Hz at 100 kHz offset, -118 dBc/Hz at 1 MHz offset and -151 dBc/Hz at 5 MHz offset. This design was implemented on Virtex-6 FPGA. The analysis results of FPGA data show that the proposed design is an effective alternative. An ASIC design was also implemented in CMOS 90nm technology to reach higher frequency ranges.

Committee: Saiyu Ren Ph.D (Advisor); Raymond E. Siferd Ph.D (Committee Member); Chein-In Henry Chen Ph.D (Committee Member); R.William Ayres Ph.D (Other) Subjects: Design; Education; Electrical Engineering; Systems Design; Technology

Master of Science (MS), Ohio University, 1983, Electrical Engineering & Computer Science (Engineering and Technology)

Direct memory access interface of MC6800 with the TDC1010J LSI multiplier and the application as a digital filter.

Committee: Harold Klock (Advisor) Subjects: