A separation filter has a memory for storing sequential input data. A multiplier multiplies sequential input data, read from the memory, by a predetermined filter coefficient. An accumulator sequentially accumulates the multiplication result from the multiplier. A pair of registers alternately receive the accumulation result from the accumulator. An adder/subtracter adds or subtracts two accumulation results, obtained from the register pair, together or one from the other, and outputs the operation result as two pieces of sequential output data which are the sequential input data separated. In a synthesizing filter, an adder/subtracter adds or subtracts two pieces of sequential input data together or one from the other, a memory stores the operation result from the adder/subtracter, a multiplier multiplies the operation result, read from the memory, by a predetermined filter coefficient, and an accumulator sequentially accumulates the multiplication result from the multiplier, and outputs the accumulation result as sequential output data which is the two pieces of sequential input data synthesized.