There is provided a signal processing device and a wireless apparatus capable of not erroneously determining polarity, appropriately performing a spread modulation process, a carrier modulation process, and reception data demodulation process, improving reception accuracy, and miniaturizing a circuit, even when IF carrier frequency shift occurs. The signal processing device and the wireless apparatus includes a spread modulation unit which includes a first differential encoding process section for performing a differential encoding process on a reception data, a differential encoding process section for performing a second differential encoding process on the output, and a spread modulation process section for performing a spread modulation process on the output using a spread code; a carrier modulation unit which quadrature-modulates a transmission data spread modulation signal and a continuous wave; and a reception data decoding unit which performs a correlation process twice and a delay detection process twice.