1. An ultrasonic imaging apparatus for transmitting ultrasonic waves toward an object to be inspected and receiving ultrasonic echoes from the object to display an ultrasonic image based on the received ultrasonic echoes, said apparatus comprising: ultrasonic transmitting means for transmitting ultrasonic waves according to applied drive signals; ultrasonic receiving means for receiving ultrasonic echoes generated by reflection of the ultrasonic waves transmitted from said ultrasonic transmitting means in the object to output reception signals; signal processing means for performing signal processing on the reception signals outputted from said ultrasonic receiving means to generate original data representing ultrasonic image information on the object; speckle image generating means for generating speckle image data representing a speckle image based on the original data generated by said signal processing means; and speckle image analysis means for performing analysis of the speckle image represented by the speckle image data generated by said speckle image generating means to generate speckle analysis result image data representing analysis results as a moving image.