nding to a whole block of f-OFDM symbols is canceled simultaneously according to (2.14) as (2.29) however, the equalization and slicing are performed on a single f-OFDM symbol basis at each iteration of the inner loop. One-tap equalization is adopted in the algorithm for reduc- ing computational complexity. The slicing operation approximates an equalized symbol to its nearest QAM point in the constellation. Algorithm 1 Block-wise Parallel Interference Cancellation (BwPIC). 1: Inputs: 2: output: d 3: Initialization: 1=0KMX1 4: for = l;i<<I;i++do (interference canceling) fork=1;k<=K;k++do (one-tap equalization) (Slicing) end for 12: end for 13: return Numerical Results In this section, we consider the evaluation of the following: (1) The derived system model and interference power induced by filters with different set- tings (2) The BER performance of f-OFDM single antenna systems under AWGN channels, and the different performance enhancement techniques represented in Section 2.3.4 3 The reason that AWGN channels are chosen for verifying BER performance is to rule out the impact of the multipath fading channel and focus on the interference produced by filtering. 2.4 Numerical Results The following parameters, unless otherwise specified, are adopted for simulations. The f-OFDM system occupies N = 1024 subcarriers. The considered multipath fading chan- nel of length Nf = 8 is a block-fading Gaussian channel (BFGC), and the duration of a transmitted data block is smaller than the coherence time of the channel. Therefore, the fading envelope is assumed to be constant during the transmission of a block and inde- pendent from block to block. The length of a block (a frame) lasts over a duration of 14 OFDM symbols. It is assumed that the channel state information (CSI) is perfectly known at the receiver. A soft-truncated sinc filter defined in [14] is employed at the transmitter and receiver side, with filter length of Np=Ng = = N/2 and slope controlling parameters Ap = 0.6, aq=0.65. 2.4.1 Numerical Results for In-Band In