A technology for providing an arrival direction estimation apparatus which can greatly reduce the calculation amount in spectrum calculation and can perform precise direction estimation without setting short frequency division in spectrum calculation is disclosed. According to the technology, there is provided the arrival direction estimation apparatus including an antenna, a complex digital signal converting means, a real number correlation matrix calculating means, a real number weight matrix calculating means, a spectrum calculating means, and a spectrum peak detecting means, wherein the spectrum calculating means has a real number matrix storing means which stores a real number matrix, a multiplying means which multiplies part of elements of the real number matrix by part of elements of a real number weight matrix, a result storing means which stores the multiplication processing result, a calculating means which performs at least one or more processing of matrix element inversion processing and matrix element sign change processing for the stored processing result, an adding means which adds the processing result by the calculating means, part of the processing result stored in the result storing means, and part of the elements of the real number weight matrix, and a spectrum calculating means which calculates a spectrum with the use of the processing result.