Low cost yet efficient FFT (Fast Fourier Transform) processors are greatly needed for real-time operation in many OFDM applications. Taking the advantages of both memory-based and pipelined FFT architectures, this paper presents simple radix-2 memory-based FFT (MBFFT) Processors with low hardware cost and high maximum operation frequency. Results show that the core area of the proposed MBFFT is 1.79 mm 2 with the maximum operation frequency of 205 MHz, or a process speed of 269 μs for N=8192 points (24 bits per word). This also implies a throughput of 730 Mb/s (Mbits per second). This paper also presents parallel MBFFT structures with two and four butterfly processing elements (PEs), respectively, to improve the latency while still keeping low hardware cost and high maximum operation frequency.